Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050r |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
443236633136718750 = 2 · 39 · 59 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1788117,-919322209] |
[a1,a2,a3,a4,a6] |
Generators |
[-20859:30566:27] |
Generators of the group modulo torsion |
j |
139798359/98 |
j-invariant |
L |
4.0676555818167 |
L(r)(E,1)/r! |
Ω |
0.1305626135561 |
Real period |
R |
7.7887066424049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22050dp2 22050do2 3150g2 |
Quadratic twists by: -3 5 -7 |